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What is the Least Common Multiple of 33127 and 33134?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 33127 and 33134 is 1097630018.

LCM(33127,33134) = 1097630018

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Least Common Multiple of 33127 and 33134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33127 and 33134, than apply into the LCM equation.

GCF(33127,33134) = 1
LCM(33127,33134) = ( 33127 × 33134) / 1
LCM(33127,33134) = 1097630018 / 1
LCM(33127,33134) = 1097630018

Least Common Multiple (LCM) of 33127 and 33134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33127 and 33134. First we will calculate the prime factors of 33127 and 33134.

Prime Factorization of 33127

Prime factors of 33127 are 157, 211. Prime factorization of 33127 in exponential form is:

33127 = 1571 × 2111

Prime Factorization of 33134

Prime factors of 33134 are 2, 16567. Prime factorization of 33134 in exponential form is:

33134 = 21 × 165671

Now multiplying the highest exponent prime factors to calculate the LCM of 33127 and 33134.

LCM(33127,33134) = 1571 × 2111 × 21 × 165671
LCM(33127,33134) = 1097630018